I'm sorry it came to this, but you and the children will be okay in time. You will discover that you are having to walk on eggshells around him and you will feel like your home is now your home.
Yes, it will get better. You will have ups and downs...that's normal. Be kind to yourself.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.